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334055000 = 235471941
BaseRepresentation
bin10011111010010…
…100011001011000
3212021120202022102
4103322110121120
51141004230000
653051542532
711164264166
oct2372243130
9767522272
10334055000
11161624514
1293a5aa48
13542926a6
143251a236
151e4d93d5
hex13e94658

334055000 has 80 divisors (see below), whose sum is σ = 794558160. Its totient is φ = 131600000.

The previous prime is 334054969. The next prime is 334055009. The reversal of 334055000 is 550433.

It is a super-2 number, since 2×3340550002 = 223185486050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334055009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354530 + ... + 355470.

It is an arithmetic number, because the mean of its divisors is an integer number (9931977).

Almost surely, 2334055000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397279080).

334055000 is an abundant number, since it is smaller than the sum of its proper divisors (460503160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334055000 is an equidigital number, since it uses as much as digits as its factorization.

334055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 334055000 is about 18277.1715536075. The cubic root of 334055000 is about 693.8612893995.

The spelling of 334055000 in words is "three hundred thirty-four million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 625 710 941 1000 1250 1420 1775 1882 2500 2840 3550 3764 4705 5000 7100 7528 8875 9410 14200 17750 18820 23525 35500 37640 44375 47050 66811 71000 88750 94100 117625 133622 177500 188200 235250 267244 334055 355000 470500 534488 588125 668110 941000 1176250 1336220 1670275 2352500 2672440 3340550 4705000 6681100 8351375 13362200 16702750 33405500 41756875 66811000 83513750 167027500 334055000